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Equivalence of Approaches to Relational Quantum Dynamics in Relativistic Settings
https://oist.repo.nii.ac.jp/records/2257
https://oist.repo.nii.ac.jp/records/2257f1d555c2-20a7-491c-84f3-ffe980c8111d
名前 / ファイル | ライセンス | アクション |
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Höhn-2021-Equivalence of Approaches to Relatio (929.2 kB)
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CC BY 4.0
Creative Commons Attribution 4.0 International (https://creativecommons.org/licenses/by/4.0/) |
Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2021-09-09 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Equivalence of Approaches to Relational Quantum Dynamics in Relativistic Settings | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | relational quantum dynamics | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Problem of Time | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | relational Dirac observables | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Page-Wootters formalism | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | quantum deparametrizations | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Quantum clocks | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | quantum reference frames | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | relativistic quantum clocks | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
著者(英) |
Höhn, Philipp A.
× Höhn, Philipp A.× Smith, Alexander R. H.× Lock, Maximilian P. E. |
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書誌情報 |
en : Frontiers in Physics 巻 9, 号 587083, 発行日 2021-06-18 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | We have previously shown that three approaches to relational quantum dynamics—relational Dirac observables, the Page-Wootters formalism and quantum deparametrizations—are equivalent. Here we show that this “trinity” of relational quantum dynamics holds in relativistic settings per frequency superselection sector. Time according to a clock subsystem is defined via a positive operator-valued measure (POVM) that is covariant with respect to the group generated by its (quadratic) Hamiltonian. This differs from the usual choice of a self-adjoint clock observable conjugate to the clock momentum. It also resolves Kuchař's criticism that the Page-Wootters formalism yields incorrect localization probabilities for the relativistic particle when conditioning on a Minkowski time operator. We show that conditioning instead on the covariant clock POVM results in a Newton-Wigner type localization probability commonly used in relativistic quantum mechanics. By establishing the equivalence mentioned above, we also assign a consistent conditional-probability interpretation to relational observables and deparametrizations. Finally, we expand a recent method of changing temporal reference frames, and show how to transform states and observables frequency-sector-wise. We use this method to discuss an indirect clock self-reference effect and explore the state and temporal frame-dependence of the task of comparing and synchronizing different quantum clocks. | |||||
出版者 | ||||||
出版者 | Frontiers Media | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 2296-424X | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.3389/fphy.2021.587083 | |||||
権利 | ||||||
権利情報 | © 2021 Höhn, Smith and Lock. | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://www.frontiersin.org/articles/10.3389/fphy.2021.587083/full | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |